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If you have a chance to win $500 for drawing a card of 10 of any suit from a standard deck of cards, what is the value of expectation?

A. $24.80
B. $100.68
C. $38.46
D. $50.52

Respuesta :

Answer:

The expected value is $38.46.

Step-by-step explanation:

The probability of drawing a 10 from any suit is 4/52.  Multiply this by the earnings which is 500:

your equation should look like this:

4/52(500) = 2000/52 = 38.46

Answer:

C. $38.46

Step-by-step explanation:

The probability that you'll get a 10 from a suit is 4/52 because there are 4 10's in each suit and 52 cards in total. If you multiply 4/52 by 500 (because you get 500 for drawing a 10), then you get 38.46 by simplifying the following equation:

4/52(500) = 2000/52 = 38.46

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